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High-speed Rotor’s Mechanical Design and Stable Suspension Based on Inertia-ratio for Gyroscopic Effect Suppression

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  • Control Theory and Applications
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Abstract

The rotor’s stable suspension is one of significant requirements for a magnetically suspended control momentum gyroscope (MSCMG), the gyroscopic effect is one of rotor’s prominent characteristics. To find out the relationship between rotor’s structure and gyroscopic effect, the inertia-ratio is originally presented and the relationship between the inertia-ratio and gyroscopic effects is researched. To improve the rotor’s suspension stability, the cross feedback control (CFC) method is researched based on modeling the suspension system of rotor and point out that only distributed PID control cannot make rotor’s suspension be stable due to the whirling. To suppress the gyroscopic effects more effectively and sustain the stable suspension within a wider speed range, a CFC method with pre-modulated gains is presented. All research results verify that this presented CFC method can effectively suppress the rotor’s vibration caused by its gyroscopic effects. Experimental results also indicate that a large inertia-ratio is helpful to suppress rotor’s gyroscopic effect and can enhance the suspension stability to some extent. In addition, a rotor with angular momentum 200 Nms is designed for a MSCMG by optimizing its inertia-ratio. This paper will provide helpful hint for the research of high-speed rotor’s mechanical design and stable suspension.

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References

  1. J. Fang, S. Zheng, and B. Han, “AMB vibration control for structural resonance of double-gimbal control moment gyro with high-speed magnetically suspended rotor,” IEEE/ASME T Mech, vol. 18, no. 1, pp. 32–43, 2013.

    Article  Google Scholar 

  2. J. Fang, W. Li, and H. Li, “Self-compensation of the commutation angle based on DC-link current for high-speed brushless DC motors with low inductance,” IEEE T Power Electr, vol. 29, no. 1, pp. 428–439, 2014.

    Article  Google Scholar 

  3. D. Wei, J. Zhang, D. Wu, and G. Li, “Development of a 200Nms single gimbal control moment gyro,” Aerospace Cont., vol. 37, no. 6, pp. 14–18, Appl 2011.

    Google Scholar 

  4. Q. Luo, D. Li, W. Zhou, J Jiang, G Yang, and X Wei, “Dynamic modelling and observation of micro-vibrations generated by a single gimbal control moment gyro,” J Sound Vib, vol. 332, no. 19, pp. 4496–4516, 2013.

    Article  Google Scholar 

  5. Y. Ren and J. Fang, “High-precision and strong-robustness control for an MSCMG based on modal separation and rotation motion decoupling strategy,” IEEE Trans. Ind. Electron, vol. 61, no. 3, pp. 1539–1551, 2014.

    Article  Google Scholar 

  6. Y. C. Xie, H. Sawada, and T. Hashimoto, “Actively controlled magnetic bearing momentum wheel and its application to satellite attitude control,” Institute of Space and Astronautical Science Report, no. 680, March 2001.

  7. J. G. Bitterly, “Flywheel technology: past, present, and 21st century projections,” IEEE Aerospace and Electronic Systems Magazine, vol. 13, pp. 13–16, 1998.

    Article  Google Scholar 

  8. K. R. Rajagopal and K. K. Sivadasan, “Low-stiction magnetic bearing for satellite application,” Journal of Applied Physics, vol. 91, pp. 6994–6996, 2002.

    Article  Google Scholar 

  9. T. Mizuno, “Analysis on the fundamental properties of active magnetic bearing control systems by a transfer function approach,” JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing, vol. 44, pp. 367–373, 2001.

    Article  Google Scholar 

  10. J. C. Fang and Y. Ren, “High-precision control for a single-gimbal magnetically suspended control moment gyro based on inverse system method,” IEEE Transactions on Industrial Electronics, vol. 58, pp. 4331–4342, 2011.

    Article  Google Scholar 

  11. M. Arkadiusz, “Energy save robust control of active magnetic bearings in flywheel,” ACTA Mechanica et Automatica, vol. 6, no. 3, pp. 72–75, 2012.

    Google Scholar 

  12. R. Jastrzebski, K. Hynynen, and A. Smirnov, “Uncertainty set, design and performance evaluation of centralized controllers for AMB system,” The Twelfth International Symposium on Magnetic Bearings (ISMB 12), pp. 47–57, 2010.

    Google Scholar 

  13. H. Bleuler, A. Bonfitto, A. Tonoli, and N. Amati, “Miniaturized gyroscope with bearingless configuration,” The Twelfth International Symposium on Magnetic Bearings (ISMB 12), pp. 722–731, 2010.

    Google Scholar 

  14. M. Subkhan and M. Komori, “New concept for flywheel energy storage system using SMB and PMB,” IEEE T Appl. Supercon, vol. 21, no. 3, pp. 1485–1488, 2011.

    Article  Google Scholar 

  15. L. A. Hawkins, B. T. Murphy, and J. Kajs, “Application of permanent magnet bias magnetic bearings to an energy storage flywheel,” Proc. of the 5th International Symposium on Magnetic Suspension Technology, pp. 309–313, 1995.

    Google Scholar 

  16. B. Han, S. Zheng, Z. Wang and Y. Le, “Design, modeling, fabrication, and test of a large-scale single-gimbal magnetically suspended control moment gyro,” IEEE T Ind. Electron, vol. 62, no. 12, pp. 7424–7435, 2015.

    Article  Google Scholar 

  17. C. Peng, J. Fang, and S. Xu, “Composite anti-disturbance controller for magnetically suspended control moment gyro subject to mismatched disturbances,” Nonlin. Dyn, vol. 79, no. 2, pp. 1563–1573, 2015.

    Article  MATH  Google Scholar 

  18. C. Liu and G. Liu, “Auto balancing Control for MSCMG based on sliding-mode observer and adaptive compensation,” IEEE T Ind. Electron, vol. 63, no. 7, pp. 4346–4356, 2016.

    Article  Google Scholar 

  19. J. Park, S. Park, J. Hong, and J. Lee, “Rotor design on torque ripple reduction for a synchronous reluctance motor with concentrated winding using response surface methodology,” IEEE International Magnetic Conference California, vol. 42, no. 10, pp. 3479–3481, 2006.

    Google Scholar 

  20. T. Wang, F. Wang, H. Bai, and J. Xing, “Optimization design of rotor structure for high speed permanent magnet machines,” Proc. of International Conference on Electrical Machines and Systems, pp. 1438–42, 2007.

    Google Scholar 

  21. J. Tang, X. Han, and Q. Liu, “Optimal design of rotor rim for magnetically suspended flywheel with Verniergimballing capacity,” Optics Precis. Eng, vol. 9, no. 9, pp. 1991–1998, 2012.

    Article  Google Scholar 

  22. B. Xiang and J. Tang, “Suspension and titling of verniergimballing magnetically suspended flywheel with conical magnetic bearing and Lorentz magnetic bearing,” Mechatronics, vol. 28, pp. 46–54, 2015.

    Article  Google Scholar 

  23. G. Genta and D. Bassani, “Use of genetic algorithms for the design of rotors,” Meccanica, vol. 30, no. 6, pp. 707–717, 1995.

    Article  MATH  Google Scholar 

  24. E. Dikmen, P. Hoogt, and R. Aarts, “Influence of multiphysical effects on the dynamics of the high speed mini rotors-part II: Results,” J Vib. Acoust, vol. 132, no. 3, pp. 031011, 2010.

    Article  Google Scholar 

  25. M. Jalali, M. Ghayour, Z. Saeed, and B. Shahriari, “Dynamic analysis of a high speed rotor-bearing system,” Measurement, vol. 53, pp. 1–9, 2014.

    Article  Google Scholar 

  26. M. Zaim, “High-speed solid rotor synchronous reluctance machine design and optimization,” IEEE Trans. Magn, vol. 45, no. 3, pp. 1796–1799, 2009.

    Article  Google Scholar 

  27. M. Terzic, D. Mihic, and S. Vukosavic, “Impact of rotor material on the optimal geometry of high-speed drag-cup induction motor,” IEEE Trans. Energy Conver, vol. 31, no. 2, pp. 455–465, 2016.

    Article  Google Scholar 

  28. R. Whalley and M. Ebrahimi, “High-speed rotor-shaft systems and whirling identification,” Proc. IMechE Part C: J. Mech. Eng. Sci., vol. 221, no. 6, pp. 661–676, 2007.

    Article  Google Scholar 

  29. S. Jeong and Y. Lee, “Effects of eccentricity and vibration response on high-speed rigid rotor supported by hybrid foil-magnetic bearing,” Proc. IMechE Part C: J Mech. Eng. Sci., vol. 230, no. 6, pp. 994–1006, 2016.

    Article  Google Scholar 

  30. X. Chen and Y. Ren, “Modal decoupling control for a double gimbal magnetically suspended control moment gyroscope based on modal controller and feedback linearization method,” ARCHIVE Proceedings of the Institution of Mechanical Engineers Part C: J Mech. Eng. Sci., vol. 228, no. 13, pp. 2303–2313, 2014.

    Google Scholar 

  31. S. Yoo, C. Park, S. Choi, and M. Noh, “Flexible rotor modeling for a large capacity flywheel energy storage system,” Proc. of 11th International Symposium on Magnetic Bearings, vol. 8, pp. 238–242, 2008.

    Google Scholar 

  32. D. Stevenson and H. Schaub, “Nonlinear control analysis of a double-gimbal variable-speed control moment gyroscope,” J Guid. Control Dynam., vol. 35, no. 3, pp. 787–793, 2012.

    Article  Google Scholar 

  33. X. Zhou, R. Zhang, and J. Fang, “Accurate and fastresponse magnetically suspended flywheel torque control,” T I Meas. Control, vol. 38, no. 1, pp. 73–82, 2016.

    Article  Google Scholar 

  34. N. Sun, Y. Fang, H. Chen, and B. Lu, “Amplitude-saturated nonlinear output feedback antiswing control for underactuated cranes with double-pendulum cargo dynamics,” IEEE Transactions on Industrial Electronics, vol. 64, no. 3, pp. 2135–2146, 2017.

    Article  Google Scholar 

  35. N. Sun, Y. Fang, H. Chen, Y. Fu, and B. Lu, “Nonlinear stabilizing control for ship-mounted cranes with disturbances induced by ship roll and heave movements: design, analysis, and experiments,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. PP, no. 99, pp. 1–13, 2017.

    Google Scholar 

  36. H. Muntazir and M. Rehan, “Nonlinear time-delay antiwindup compensator synthesis for nonlinear time-delay systems: a delay-range-dependent approach,” Neurocomputing, vol. 186, pp. 54–65, 2016.

    Article  Google Scholar 

  37. N. Saqib, M. Rehan, and N. Lqbal, “Static antiwindup design for nonlinear parameter varying systems with application to DC motor speed control under nonlinearities and load variations,” IEEE Transactions on Control Systems Technolog, vol. pp, no. 99, pp. 1–8, 2017.

    Google Scholar 

  38. K. Xiao, K. Liu, and X. Chen, “Cross feedback control of magnetic bearings based on root locus,” Proc. of 11th International Symposium on Magnetic Bearings, pp. 250–254, 2008.

    Google Scholar 

  39. C. Zhu and Q. Zhang, “Modal decoupling control for active magnetic bearing high-speed flywheel rotor system with strong gyroscopic effect,” The Thirteenth International Symposium on Magnetic Bearings (ISMB 13), pp. 6–8, 2012.

    Google Scholar 

  40. M. Hutterer, M. Hofer, T. Nenning, and M. Schrödl, “LQG control of an active magnetic bearing with a special method to consider the gyroscopic effect,” Proc. of the 14th International Symposium on Magnetic Bearings (ISMB 14), pp. 54–59, 2014.

    Google Scholar 

  41. G. Mikota, A. Pröll, and S. Silber, “Experimental modal analysis of a gyroscopic rotor in active magnetic bearings,” Proc. of the 14th International Symposium on Magnetic Bearings (ISMB 14), pp. 661–664, 2014.

    Google Scholar 

  42. M. Ahrens and L. Kučera, “Cross feedback control of a magnetic bearing system-controller design considering gyroscopic effects,” Proc. of the 3rd International Symposium on Magnetic Suspension Technology, Tallahassee, pp. 177–191, 1995.

    Google Scholar 

  43. B. Han, G. Hu and J. Fang, “Optimization design of magnetic bearing reaction wheel rotor,” J Aircraft, vol. 27, no. 3, pp. 536–540, 2006.

    Google Scholar 

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Author information

Authors and Affiliations

  1. School of Instrumentation Science and Optoelectronics Engineering, Beihang University, Beijing, 100191, P. R. China

    Jiqiang Tang, Shaopu Zhao, Ying Wang & Kuo Wang

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  1. Jiqiang Tang
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  2. Shaopu Zhao
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  3. Ying Wang
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  4. Kuo Wang
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Corresponding author

Correspondence to Jiqiang Tang.

Additional information

Recommended by Associate Editor Ho Jae Lee under the direction of Editor Yoshito Ohta. This work was supported by National Natural Science Foundation of China under Grant No. 61473018 and No. 61773030, and China Scholarship Council (CSC) under Grant No. 20160625042.

Jiqiang Tang was born in Chongqing, China in 1972. He received the Ph.D. degree in Precision Instrument and Machinery from Harbin Engineering University, Harbin, China, in 2005. He is an associate professor in the School of Instrumentation Science and Optoelectronics Engineering, Beihang University, Beijing, China. His current research mainly focuses on superconductivity and its application such as superconducting attitude control and/or energy storage flywheel, superconducting gyroscope and so on. He also researches the novel inertial executing agencies for spacecraft such as magnetically suspended flywheel and control momentum gyroscope. He is not only the winner of Posdoctoral fundation of China in 2006, the National Natural Science Foundation of China under Grant No. 61174003 (in 2011), No.61473018 (in 2014) and No. 61773030 (in 2017), but also the winner of China Scholarship Council (CSC) under Grant No. 20160625042 in 2016.

Shaopu Zhao received the B.S. degree in University of Electronic Science and Technology of China, Chengdu, China, in 2015. He is currently working toward the M.S. degree in Precision Instruments and Mechanics, Beihang University, Beijing, China. His main research interests include analysis of mechanical characteristics and reliability of locking system and optimization of magnetically suspended control moment gyroscopes.

Ying Wang received the B.S. degree in mechanical manufacturing and automation from Wuhan University of Technology, Wuhan, China, in 2016. She is currently working toward the M.S. degree in precision instruments and machinery at Beihang University, Beijing, China. She is currently with the Magnetic Levitation Moment Gyro Laboratory, Beihang University, where her main research interests include suspension and tilting control of magnetically suspended flywheels.

Kuo Wang received the B.S. degree in mechanical manufacturing and automation from Shandong University, Jinan, China, in 2014. He is currently working toward the M.S. degree in precision instruments and Mechanics at Beihang University, Beijing, China. His research interests include the analysis of mechanical characteristics of high-speed rotors and optimization of magnetically suspended control momentum gyroscopes.

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Tang, J., Zhao, S., Wang, Y. et al. High-speed Rotor’s Mechanical Design and Stable Suspension Based on Inertia-ratio for Gyroscopic Effect Suppression. Int. J. Control Autom. Syst. 16, 1577–1591 (2018). https://doi.org/10.1007/s12555-017-0117-z

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  • DOI: https://doi.org/10.1007/s12555-017-0117-z

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